Conformal grafting and convergence of Fenchel-Nielsen twist coordinates

Fortier Bourque, M. (2015) Conformal grafting and convergence of Fenchel-Nielsen twist coordinates. Conformal Geometry and Dynamics, 19, pp. 1-18. (doi: 10.1090/S1088-4173-2015-00273-8)

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Abstract

We cut a hyperbolic surface of finite area along some analytic simple closed curves, and glue in cylinders of varying moduli. We prove that as the moduli of the glued cylinders go to infinity, the Fenchel-Nielsen twist coordinates for the resulting surface around those cylinders converge.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Fortier-Bourque, Dr Maxime
Authors: Fortier Bourque, M.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Conformal Geometry and Dynamics
Journal Abbr.:Conform. Geom. Dyn.
Publisher:American Mathematical Society
ISSN:1088-4173

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